A 12 cm x 2 cm rectangle sits inside a circle with radius of 8 cm.What is the area of the shaded region?Round your final answer to the nearest hundredth.

Answer:Diagram was not given.Still I had drawn it, hope may it will helpful to you. So as per my diagram I had solved the sum.The area of the shaded region is 176.96 ≈ 178 cm²Step-by-step explanation:Given:radius of the circle        = r  = 8 cmlength of the rectangle = L = 12 cmbreadth of the rectangle = B = 2 cmTo Find:Area of shaded region = ?Solution:[tex]\textrm{Area of rectangle} = Length\times Breadth\\= L\times B\\= 12\times 2\\= 24\ cm^{2}[/tex][tex]\textrm{Area of Circle} = \pi \times (radius)^{2} \\=\pi \times r^{2}\\=3.14\times 8^{2}\\=200.96\ cm^{2}[/tex]Now, The Area of Shaded region will be [tex]\textrm{Area of Shaded region}=\textrm{Area of Circle}-\textrm{Area of Rectangle}\\=200.96 - 24\\=176.96\ cm^{2} \\=178\ cm^{2}\........... \textrm{Rounded to tenth}[/tex]The area of the shaded region is 176.96 ≈ 178 cm²